Moving multichannel systems in a finite volume with application to proton-proton fusion
By R. Briceño, Zohreh Davoudi. 2012
161 citations recorded by the source corpus.
The spectrum of a system with multiple channels composed of two hadrons with nonzero total momentum is determined in a finite cubic volume with periodic boundary conditions using effective field theory methods. The results presented are accurate up to exponentially suppressed corrections in the volume due to the finite range of hadronic interactions. The formalism allows one to determine the phase shifts and mixing parameters of pipi-KK isosinglet coupled channels directly from Lattice Quantum Chromodynamics. We show that the extension to more than two channels is straightforward and present the result for three channels. From the energy quantization condition, the volume dependence of electroweak matrix elements of two-hadron processes is extracted. In the non-relativistic case, we pay close attention to processes that mix the 1S0-3S1 two-nucleon states, e.g. proton-proton fusion (pp -> d+ e^+ + nu_e), and show how to determine the transition amplitude of such processes directly from lattice QCD.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5c14c491e2dae54e28e472f0e9bf7f46d6a167d1
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In Nuclear and High Energy Physics
Citations in the corpus
- FLAG Review 2019 (2019, unknown): “While field-theory procedures to take resonance effects into account are available [300–302, 597–602], they have not yet been implemented in the existing preliminary computations, which therefore suffer from uncontrolled systematic errors in calculations of weak decay form factors into unstable vect”
- Scattering processes and resonances from lattice QCD (2017, methodology): “…be they elastic, coupledchannel, featuring spinless hadrons or hadrons with spin (Bedaque, 2004; Bernard et al., 2008a, 2011; Briceno, 2014; Briceno and Davoudi, 2013a; Briceno et al., 2014; Christ et al., 2005; Feng et al., 2004; Fu, 2012; Gockeler et al., 2012; Guo et al., 2013; Hansen…”
- Hadronic molecules (2017, methodology): “…resonances), this method needs to be extended in various directions, such as considering higher partial waves and spins (Bernard et al., 2008; Briceño and Davoudi, 2013a; Göckeler et al., 2012; König et al., 2011, 2012; Luu and Savage, 2011), moving frames (Bour et al., 2011; Davoudi and…”